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Finding the Third Proportional to 10,346,688 and 15,663,172.50

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Solution

The third proportional to 10,346,688 and 15,663,172.50 is: 23,711,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,688 : 15,663,172.50 = 15,663,172.50 : x
  2. Step 2: Convert to fraction form
    10,346,688/15,663,172.50 = 15,663,172.50/x
  3. Step 3: Cross multiply
    10,346,688x = 15,663,172.50 × 15,663,172.50
  4. Step 4: Simplify right side
    10,346,688x = 245,334,972,764,756.25
  5. Step 5: Solve for x
    x = 245,334,972,764,756.25/10,346,688
  6. Step 6: Final answer
    x = 23,711,449.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.